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A027672
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Molien series for unitary 16-dimensional full Siegel modular group H_4 of order 48514675507200.
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5
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1, 0, 1, 1, 2, 3, 7, 7, 19, 27, 52, 87, 172, 279, 550, 960, 1782, 3183, 5845, 10288, 18508, 32284, 56345, 96473, 164157, 274194, 454518, 741321, 1196924, 1906123, 3003750, 4673470, 7198311, 10959836, 16523847, 24654860, 36447873, 53369530
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,5
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REFERENCES
| M. Oura (ohura(AT)math.kyushu-u.ac.jp), The dimension formula for the ring of code polynomials in genus 4, Osaka J. Math. 34 (1997), 53-72.
B. Runge, On Siegel modular forms II, Nagoya Math. J., 138 (1995), 179-197.
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LINKS
| G. Nebe, E. M. Rains and N. J. A. Sloane, Self-Dual Codes and Invariant Theory, Springer, Berlin, 2006.
Index entries for Molien series
Index entries for sequences related to modular groups
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FORMULA
| Oura gives an explicit formula for the Molien series.
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EXAMPLE
| 1+x^8+x^12+2*x^16+3*x^20+7*x^24+7*x^28+19*x^32+27*x^36+O(x^40).
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CROSSREFS
| Cf. A027633, A027638, A051354.
Sequence in context: A011161 A171464 A179894 * A104138 A083809 A092967
Adjacent sequences: A027669 A027670 A027671 * A027673 A027674 A027675
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KEYWORD
| nonn,nice,easy
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
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